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Finding the Fourth Proportional to 46,764, 70,145.60 and 11,703.83

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Solution

The fourth proportional to 46,764, 70,145.60 and 11,703.83 is: 17,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,764 : 70,145.60 = 11,703.83 : x
  2. Step 2: Convert to fraction form
    46,764/70,145.60 = 11,703.83/x
  3. Step 3: Cross multiply
    46,764x = 70,145.60 × 11,703.83
  4. Step 4: Simplify right side
    46,764x = 820,971,768.40
  5. Step 5: Solve for x
    x = 820,971,768.40/46,764
  6. Step 6: Final answer
    x = 17,555.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.